GCF of 2240/595, 5624/4354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2240/595, 5624/4354 i.e 8/370090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2240/595, 5624/4354.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2240/595,5624/4354?
Given fractions are 2240/595,5624/4354
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2240/595,5624/4354, numerators are 2240,5624
Denominators are 595,4354
The GCF of 2240,5624 is 8 .
LCM of 595,4354 is 370090.
The greatest common factor of 2240/595,5624/4354 = [GCF of 2240,5624]/[LCM of 595,4354]= 8/370090
Therefore, the GCF of 2240/595,5624/4354 is 8/370090.
To find the highest common factor of 2240,5624, we have to find the factors of both numbers and list the highest common factor.
The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240
The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624
The HCF of 2240,5624 is 8.
Lets's calculate GCF of 2240,5624
| 2 | 2240, 5624 |
| 2 | 1120, 2812 |
| 2 | 560, 1406 |
| 280, 703 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2240,5624 By Matching Biggest Common Factor Method
Now, list down the factors of 2240
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Now, list down the factors of 5624
:1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624
Greatest Common Factor
We found the factors 2240,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 2240,5624 is 8.
Lets's calculate LCM of 595,4354
| 7 | 595, 4354 |
| 85, 622 |
∴ So the LCM of the given numbers is 7 x 85 x 622 = 370090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/370090
Therefore, the GCF of Fractions 2240/595,5624/4354 is 8/370090
Least Common Multiple of 595,4354 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 595,4354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,4354) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(595,4354) x common factors =7 x 1 = 7
LCM(595,4354) = ( 595 × 4354 ) / 7
LCM(595,4354) = 2590630 / 7
LCM(595,4354) = 370090
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FAQs on GCF of Fractions of 2240/595, 5624/4354
1. What is the HCF of 2240,5624?
The HCF of 2240,5624 is 8
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2240/595, 5624/4354?
Answer: GCF of Numerators as per given numbers 2240/595, 5624/4354 is
GCF of Numerators i.e. for 2240,5624 is 8
LCM of denominators i.e. for 595,4354 is 370090.
Thus, GCF of Fractions is 8/370090.Finally, GCF of Fractions for 2240/595, 5624/4354 is 8/370090.